Timeline for Central limit theorem notation
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 10, 2023 at 21:55 | comment | added | Zhanxiong | OK, thanks for the clarification. Probably you are talking about the triangular array, which is the most general :) That is good. | |
| Feb 10, 2023 at 21:46 | comment | added | utobi | @Zhanxiong thanks for the remark. Clearly, $X_1,\ldots,X_n$ must be defined on a common triple, but the point is that for $n +1$, we could switch to a different triple. | |
| Feb 10, 2023 at 21:27 | comment | added | Zhanxiong | Another way to see this is that the "independence" can only be defined on a common probability space. | |
| Feb 10, 2023 at 21:19 | comment | added | Zhanxiong | As $n$ changes, the underlying probability space may change, I can see what you meant. However, it should be noted that since $X_1, \ldots, X_n, \ldots$ need to be added, they need to be defined on a common sample space. | |
| Feb 10, 2023 at 20:54 | history | answered | utobi | CC BY-SA 4.0 |